Content Details | NUML Online Research Repository

Content Details

Back to Department Listing

Title Exact Solutions for Oldroyd-B Fluid over an Oscillating Plate

Author(s) Khansa Mehmood

Abstract This thesis presents a comprehensive study of Oldroyd-B fluid over an oscillating plate. The primary focus is to analyze the steady-state, incompressible flow characteristics of an Oldroyd-B fluid. The solutions for the velocity field 𝑢(𝑦, 𝑡) and shear stress 𝜏(𝑦, 𝑡) are investigated. The governing equations are solved by integral transforms (Fourier sine and Laplace transforms). Both the results of the velocity field 𝑢(𝑦, 𝑡) and shear stress 𝜏(𝑦, 𝑡) are written in terms of convolutions theorem, elementary functions, and simple integral forms, satisfying all initial and boundary conditions. The obtained solutions are graphically analyzed for the variations of interesting flow parameters by using Mathematica software It has been observed that, when we increase relaxation time parameter the velocity profile also increases while shear stress decreases. On the other hand, when we increase retardation time parameter, the velocity profile along with shear stress decreases from maximum values to zero values. Moreover, the similar solutions for Maxwell, second-grade, and Newtonian fluid performing the same motions, are also obtained.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-04-21

Subject Mathematics

Publisher

Contributor(s)

Format

Identifier

Source

Relation

Coverage

Rights